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On the vorticity direction and the regularity of 3D Navier–Stokes equations

On the vorticity direction and the regularity of 3D Navier–Stokes equations

Abstract This short paper presents a simplified and alternative proof of the regularity of weak solutions to the 3D Navier–Stokes equations with ‘sufficiently small’ jumps in the vorticity direction. Although the main result is very similar to a previously proven one, there are some relevant differences. Specifically, we prove that …